If you don't want to have to touch the strings, then a complete shielding job over all the body cavities (on the guitar, not
your body

) will give you the biggest advantage. There will still be a difference when you let go, but most of the shielding that your body is doing will be done by the foil. Shielding paint is okay, but foil is best. If you've never done it, obviously you have to ground the shielding tape and solder each piece to another piece to make sure you have a continuous ground across all the tape.